arXiv:math/0106176 Abstract

arXiv:math/0106176 [math.NT]Abstract References Reviews Resources

Upper bounds for |L(1,chi)|

Published 2001-06-20Version 1

Given a non-principal Dirichlet character chi mod q, an important problem in number theory is to obtain good estimates for the size of L(1,chi). In this paper we focus on sharpening the upper bounds known for |L(1,chi)|; in particular, we wish to determine constants c (as small as possible) for which the bound |L(1,chi)| <= (c+o(1)) log q holds.

Comments: 22 pages

Categories: math.NT

Keywords: upper bounds, non-principal dirichlet character chi mod, determine constants, important problem, number theory

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